2 problems

Conjecture on generators of the simple loopless regular matroid complex homology
Generator conjecture. The homology of the indecomposable quotient of the simple loopless regular matroid complex is generated by the classes of $U_{1,1}$ and $\mathsf{M}(W_{2k+1})$ …
openhomological-algebra matroid-complexes matroid-theory
0 responses
08
Chari's shellable $M$ -vector conjecture for matroid complexes
A matroid complex is the simplicial complex of independent sets of a matroid. For a $(d-1)$ -dimensional simplicial complex $\Delta$ , its $h$ -vector $h(\Delta)=(h_0,h_1,\ldots,h_d)$ …
openh-vectors matroid-complexes shellability
0 responses
03

Conjecture on generators of the simple loopless regular matroid complex homology